33 of 36 people found the following review helpful
An Excellent Calculus Book,
This review is from: Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) (Paperback)
This is by far my favorite calculus text. The selection out there ranges from cookbook (Stewart and Anton), to elementary (Adams), to quite advanced (Apostol and Spivak). This book really doesn't fall into any of those categories. Proofs are based on heuristic arguments rather than strict adherence to rigor, but this doesn't mean that the book is "dumbed down." Most people go through proofs in Apostol and wonder what they just read, whereas those in Kline greatly enhance the reader's ability to learn the material. Kline may sacrifice rigorous formalism for increased understanding, but most students of calculus will consider this a very good trade off. If you are looking for a theorem-proof, theorem-proof, ad infinitum treatment of calculus, this is probably not your book. If you are looking for a way to really learn the subject from a very gifted teacher, developing your mathematical and physical intuition in the process, then Kline is the best text you can get.